The metric of the D1/D5 circular fuzz-ball (in the democratic D3/D3' frame) reads [1]}:
\(ds^2=&H^{-1}\Big [-(dt+\omega _\phi d\phi )^2+(dz+\omega _\psi d\psi )^2\Big ]+H\Big [(\rho ^2+a_f^2\cos ^2\theta )\left({d\rho ^2\over \rho ^2+a_f^2}+d\theta ^2\right)+\\\nonumber &+\rho ^2 \cos ^2\theta d\psi ^2+(\rho ^2+a_f^2)\sin ^2\theta d\phi ^2\Big ] + \left({H_1\over H_5}\right)^{1\over 2}dz^2_{1,2}+\left({H_5\over H_1}\right)^{1\over 2}dz^2_{3,4}\) 
